Factors of 4800

Q: What are the prime factors of 4800?

2, 3, 5. As a product: 2^6 × 3 × 5^2.

The factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800. It has 42 factors.

Factors of 4800

Pick any whole number from 1 to 10,000.

4800 = 2^{6} \times 3 \times 5^{2}

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How to work it out

1
A factor of 4800 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4800 ≈ 69.28; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 42 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$4800 = 2^{6} \times 3 \times 5^{2}$
4
Add all the factors: the sum is 15748. Without 4800 itself that is 10948, so 4800 is an abundant number.

LaTeX source of the formulas on this page

\[ 4800 = 2^{6} \times 3 \times 5^{2} \]

Factor pairs of 4800

Factor	Pairs with	Product
1	4800	1 × 4800 = 4800
2	2400	2 × 2400 = 4800
3	1600	3 × 1600 = 4800
4	1200	4 × 1200 = 4800
5	960	5 × 960 = 4800
6	800	6 × 800 = 4800
8	600	8 × 600 = 4800
10	480	10 × 480 = 4800
12	400	12 × 400 = 4800
15	320	15 × 320 = 4800
16	300	16 × 300 = 4800
20	240	20 × 240 = 4800
24	200	24 × 200 = 4800
25	192	25 × 192 = 4800
30	160	30 × 160 = 4800
32	150	32 × 150 = 4800
40	120	40 × 120 = 4800
48	100	48 × 100 = 4800
50	96	50 × 96 = 4800
60	80	60 × 80 = 4800
64	75	64 × 75 = 4800

Questions

What are the factors of 4800?

What are the prime factors of 4800?

2, 3, 5. As a product: $2^{6}$ × 3 × $5^{2}$ .

How many factors does 4800 have?

4800 has 42 factors (21 factor pairs).

What is the sum of the factors of 4800?

15748.

Is 4800 a prime number?

No. It is divisible by 2, so 4800 = 2 × 2400.

Factors of 4800

How to work it out

Factor pairs of 4800

Questions

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